101133312120 has 384 divisors, whose sum is σ = 361796984640. Its totient is φ = 24394383360.

The previous prime is 101133312107. The next prime is 101133312131. The reversal of 101133312120 is 21213331101.

101133312120 is a `hidden beast` number, since 10 + 113 + 331 + 212 + 0 = 666.

It is a super-2 number, since 2×101133312120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101133312093 and 101133312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18791830 + ... + 18797210.

Almost surely, 2^101133312120 is an apocalyptic number.

101133312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101133312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180898492320).

101133312120 is an abundant number, since it is smaller than the sum of its proper divisors (260663672520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101133312120 is a wasteful number, since it uses less digits than its factorization.

101133312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101133312120 its reverse (21213331101), we get a palindrome (122346643221).

It can be divided in two parts, 10113 and 3312120, that added together give a palindrome (3322233).

The spelling of 101133312120 in words is "one hundred one billion, one hundred thirty-three million, three hundred twelve thousand, one hundred twenty".